Mug with built in handle coaster



FIG. 1 is a perspective view of a mug with a built in handle coaster, showing my new design;

FIG. 2 is a front elevational view thereof;

FIG. 3 is a rear elevational view thereof;

FIG. 4 is a left-side elevational view thereof, the right-side elevational view being a mirror image thereof;

FIG. 5 is a top plan view thereof; and,

FIG. 6 is a bottom plan view thereof. 

CLAIM I claim the ornamental design for a mug with a built in handle coaster, as shown and described. 